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72367 is a prime number
BaseRepresentation
bin10001101010101111
310200021021
4101222233
54303432
61315011
7420661
oct215257
9120237
1072367
114a409
1235a67
1326c29
141c531
1516697
hex11aaf

72367 has 2 divisors, whose sum is σ = 72368. Its totient is φ = 72366.

The previous prime is 72353. The next prime is 72379. The reversal of 72367 is 76327.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-72367 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36183 + 36184.

It is an arithmetic number, because the mean of its divisors is an integer number (36184).

272367 is an apocalyptic number.

72367 is a deficient number, since it is larger than the sum of its proper divisors (1).

72367 is an equidigital number, since it uses as much as digits as its factorization.

72367 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1764, while the sum is 25.

The square root of 72367 is about 269.0111521852. The cubic root of 72367 is about 41.6722410320.

The spelling of 72367 in words is "seventy-two thousand, three hundred sixty-seven".